Quantum Mechanics : Non-Relativistic and Relativistic Theory book cover
1st Edition

Quantum Mechanics
Non-Relativistic and Relativistic Theory




ISBN 9781032221465
Published June 2, 2022 by CRC Press
552 Pages 37 B/W Illustrations

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Book Description

This book presents an accessible treatment of non-relativistic and relativistic quantum mechanics. It  is an ideal textbook for undergraduate and graduate physics students, and is also useful to researchers in theoretical physics, quantum mechanics, condensed matter, mathematical physics, quantum chemistry, and electronics.

This student-friendly and self-contained textbook covers the typical topics in a core undergraduate program, as well as more advanced, graduate-level topics with an elegant mathematical rigor, contemporary style, and rejuvenated approach. It balances theory and worked examples, which reinforces readers' understanding of fundamental concepts.

The analytical methods employed in this book describe physical situations with mathematical rigor and in-depth clarity, emphasizing the essential understanding of the subject matter without need for prior knowledge of classical mechanics, electromagnetic theory, atomic structure, or differential equations.

Key Features:


• Remains accessible but incorporates a rigorous, updated  mathematical treatment
• Laid out in a student-friendly structure
• Balances theory with its application through examples


Lukong Cornelius Fai is a professor of theoretical physics at the Department of Physics, Faculty of Sciences, University of Dschang, Cameroon. He is Head of Condensed Matter and Nanomaterials as well as the Mesoscopic and Multilayer Structures Laboratory. He was formerly a senior associate at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. He holds a Master of Science in Physics and Mathematics (1991) as well as a Doctor of Science in Physics and Mathematics (1997) from Moldova State University. He is the author of over 170 scientific publications and five textbooks.

 

 

 

Table of Contents

Chapter 1

Non-Relativistic Theory

Chapter 2

Schrodinger Equation

Chapter 3

Momentum Operator

Chapter 4

Total Angular Momentum

Chapter 5

One-Dimensional Motion General Principles

Chapter 6

Schrodinger Equation

Chapter 7

Representation Theory

Chapter 8

Quantum Mechanics Approximate Methods

Chapter 9

Many-Particle System

Chapter 10

Approximate Method for the Helium Atom

Chapter 11

Approximate Method for the Hydrogen Molecule

Chapter 12

Scattering Theory

Chapter 13

Polaron Theory

Chapter 14

Relativistic Theory

Chapter 15

Klein-Gordon Equation

Chapter 16

Dirac Equation

Chapter 17

Probability and Current Densities

Chapter 18

Electron Spin in the Dirac Theory

Chapter 19

Free Electron State with Defined Momentum-Positronium Motion

Chapter 20

Dirac Equation

Chapter 21

Motion in a Magnetic Field

Chapter 22

Gamma Functions

Chapter 23

Confluent Hypergeometric Functions

Chapter 24

Cylindrical Functions

Chapter 25

Orthogonal Polynomials

...
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Author(s)

Biography

Lukong Cornelius Fai is professor of theoretical physics at the Department of Physics, Faculty of Sciences, University of Dschang. He is Head of Condensed Matter and Nanomaterials as well as Mesoscopic and Multilayer Structures Laboratory. He was formerly a senior associate at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. He holds a Masters of Science in Physics and Mathematics (June 1991) as well as a Doctor of Science in Physics and Mathematics (February 1997) from Moldova State University. He is an author of over a hundred and seventy scientific publications and five textbooks